33 TL circuits with half and quarterwave transformers
GENERATOR,
Circuit
Last lecture we established that phasor solutions of telegraphers equations for TLs in sinusoidal steadystate can be expressed as
V +ej d V ej d
V ( d) = V e + V e
and I (d) =
Zo
31 Periodic oscillations in lossless TL ckts
+
C
I (t)
V (t)
L
Lossless LC circuits (see margin) can support sourcefree and cosinusoidal
voltage and current oscillations at a frequency of
1
=
LC

V (z, t)
I 
known as LC resonance frequency.
Lossl
28 Distributed circuits and bounce diagrams
Last lecture we learned that voltage and current variations on TLs are governed by telegraphers equations and their dAlembert solutions the latter
can be expressed as
z
z
V (z, t) = f (t ) + g (t + )
v
v
and
z
f
25 Wave reection and transmission
In this lecture we will examine the phenomenon of planewave reections at
an interface separating two homogeneous regions where Maxwells equations
allow for traveling TEM wave solutions. The solutions will also need to
sa
z
19 dAlembert wave solutions, radiation from
current sheets
y
EH
dAlembert wave solutions of Maxwells equations for homogeneous and
sourcefree regions obtained in the last lecture having the forms
z
)
E, H f ( t
v
are classied as uniform planeTEM wave
14 Faradays law and induced emf
Michael Faraday discovered (in 1831, less than 200 years ago) that a changing
current in a wire loop induces current ows in nearby wires today we
describe this phenomenon as electromagnetic induction: current change
in the
5 Curlfree elds and electrostatic potential
Mathematically, we can generate a curlfree vector eld E(x, y, z ) as
E = (
V V V
,
,
),
x y z
by taking the gradient of any scalar function V (r) = V (x, y, z ). The
gradient of V (x, y, z ) is dened to be th
3 Gausss law and static charge densities
We continue with examples illustrating the use of Gausss law in macroscopic
eld calculations:
Example 1: Point charges Q are distributed over x = 0 plane with an average surface
charge density of s C/m2 . Determine
ECE 329
Midterm 1 Review
Spring 2013
All electric and magnetic phenomena in nature can be attributed to the existence of electrical charge
and charged particle motions. In classical descriptions, charge carriers having charge q and mass
m are treated as
ECE 329
Final Exam Review
Spring 2013
All electric and magnetic phenomena in nature can be attributed to the existence of electrical charge
and charged particle motions. In classical descriptions, charge carriers having charge q and mass
m are treated as